Information on Result #1782616
Digital (201, 232, 349532)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4232, 349532, F4, 3, 31) (dual of [(349532, 3), 1048364, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4232, 1048596, F4, 31) (dual of [1048596, 1048364, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4232, 1048597, F4, 31) (dual of [1048597, 1048365, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4211, 1048576, F4, 29) (dual of [1048576, 1048365, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(41, 21, F4, 1) (dual of [21, 20, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(4232, 1048597, F4, 31) (dual of [1048597, 1048365, 32]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (202, 233, 349532)-net over F4 | [i] | Net Duplication | |